2225983680 has 280 divisors, whose sum is σ = 7983217968. Its totient is φ = 588736512.

The previous prime is 2225983673. The next prime is 2225983681. The reversal of 2225983680 is 863895222.

It is a happy number.

2225983680 is a `hidden beast` number, since 2 + 22 + 598 + 36 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (2225983681) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4069167 + ... + 4069713.

Almost surely, 2^2225983680 is an apocalyptic number.

2225983680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2225983680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3991608984).

2225983680 is an abundant number, since it is smaller than the sum of its proper divisors (5757234288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2225983680 is a wasteful number, since it uses less digits than its factorization.

2225983680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 2225983680 is about 47180.3314952322. The cubic root of 2225983680 is about 1305.6917458235.

The spelling of 2225983680 in words is "two billion, two hundred twenty-five million, nine hundred eighty-three thousand, six hundred eighty".